At one time the thickness of different gauges of stainless
steel were given in fractions of an inch. Today, these
thicknesses are listed as decimal numbers. Convert each of
the following fractional thicknesses to decimal form.
A fraction can be converted into decimal form by dividing it. The answer to these parts are in main body.
What is a decimal?
When we divide a whole into smaller parts, we get decimals. Then, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number.
Main Body:
a) 15/32 = 0.4688
b) 13/64 = 0.2031
c) 9/16 = 0.5625
d) 5/8 = 0.625
e) 7/80 = 0.0875
f) 29/1280 = 0.0227
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Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 2 2 0 3 -2 4 -4
The equation of the line is will be y = -2x + 4.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Calculate the slope of the line,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -2 - 0) / ( 2 - 1) = -2
The y-intercept will be calculated as,
y = mx + c
0 = -2 x 2 + c
c = 4
The equation of the line will be,
y = mx + c
y = -2x + 4
Therefore, the equation of the line will be y = -2x + 4.
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need help pleaseeeeeeeeee
The value g(7) of the function g(x) = 7 / 8 x - 1 / 2 is 45 / 8.
How to solve function?A function relates each element of a set with exactly one element of another set (possibly the same set).
In a simpler term, a function relates an input to an output.
Therefore, let's find the value of g(7) for the function below:
g(x) = 7 / 8 x - 1 / 2
Hence,
g(7) = 7 / 8 (7) - 1 / 2
g(7) = 49 / 8 - 1 / 2
g(7) = 49 - 4 / 8
Therefore,
g(7) = 45 / 8
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Write an expression that is equivalent to 3(7+ x).
3(7+ x)= ? + ?x
Answer:
21 + 3x
Step-by-step explanation:
Its simple really. Just expanding the brackets by bringing the 3 inside the bracket :
3 × 7 = 21
3 × x = 3x
So our answer will 21 + 3x
Hope this helped and have a good day
please help me with these it is due tomm.
Answer:
1.) 10: 1, 2, 5, 10.
15: 1, 3, 5, 15,
Answer would be 5.
2.) 18: 1, 2, 3, 6, 9, 18
21: 1, 3, 7, 21
Answer would be 3.
3.) 12: 1, 2, 3, 4, 6, 12.
24: 1, 2, 3, 4, 6, 8, 12, 24.
Answer would be 12.
4.) 8: 1, 2, 4, 8.
20: 1, 2, 4, 5, 10, 20.
Answer would be 4.
5.) 14: 1, 2, 7, 14.
28: 1, 2, 4, 7, 14, 28.
Answer would be 14.
Step-by-step explanation:
Using the listing method, you would first list the common factors of each number, to which that number could be multiplied by. Then, you would search for the greatest common factor.
For this discussion post do the following:
Write two expressions with positive and negative numbers to be evaluated with a given variable value.
Evaluate one of them correctly and in the other one make an error. For both, clearly explain the steps you used.
Do not tell which problem has the error as your classmates will be determining that later.
The two expressions to be evaluated are
y = 2x - 5y = 4x - 3How to evaluate the expressionsThe problem asks for two expressions with positive and negative numbers
the positive numbers in the expressions are 2x and 4x
the negative numbers in the expressions are -5 and -3
At x = 5.
evaluating the first expression gives
y = 2x - 5
y = 2 * 5 - 5
y = 10 - 5
y = 5
evaluating the second expression gives
y = 4x - 3
y = 4 * 5 - 3
y = 4 * 2
y = 8
One of the expressions evaluated has error and on is error free
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what’s the x intercept of a table with 22,27,32
The x-intercept of the table of values is 12 or (12, 0).
How to Find the X-Intercept of a Table?To find the x-intercept of a table that represents a linear relationship between x and y, first write the equation that models the table.
To write the equation, first find the slope (m) using two pairs of values, say, (22, 36) and (27, 54)
Slope (m) = (54 - 36)/(27 - 22)
Slope (m) = 18/5
Write the equation that represents the table of values by substituting (a, b) = (22, 36) and m = 18/5 into y - b = m(x - a):
y - 36 = 18/5(x - 22)
To find the x-intercept, substitute y = 0 into the equation, y - 36 = 18/5(x - 22) to find the value of x:
0 - 36 = 18/5(x - 22)
-36 = 18/5(x - 22)
5(-36) = 18(x - 22)
-180 = 18(x - 22)
-180/18 = x - 22
-10 = x - 22
-10 + 22 = x
12 = x
x = 12
The x-intercept is 12 or (12, 0).
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Suppose that the number of cars manufactured at an automobile plant varies jointly as the number of workers and the time they work. If 160 workers can produce 32 cars in 2 hours, find the number of workers that can produce 66 cars in 3 hours.
If 160 workers can produce 32 cars in 2 hours, The number of workers that can produce 66 cars in 3 hours is 220 .
How to find the number of workers?Using this formula
W = kC/H
160 = k(32 )/2= 17k
k = 160 /16
Hence,
W = (160 /16)C/H
W = (160 /16) (66/3)
W= 220 workers
Therefore we can conclude that 220 workers can produce the cars in 3 hours.
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Identify the solution set 3c-5-c=7+4c
PLEASE HELP! select all true statement on the graph
In the given graph the correct statements are:
q ⊥ n
m ║ n
p ⊥ m
What are parallel lines and perpendicular lines ?Parallel lines are two straight lines that never intersect and are located in the same plane. They are equidistant lines that are always at the same distance from one another. Parallel lines are denoted by the apostrophe ||. AB || CD, for instance, denotes that line AB and line CD are parallel. Perpendicular lines, on the other hand, are when two lines cross at an angle of 90 degrees. The symbol stands for perpendicular lines. Line PQ is perpendicular to line RS, for instance, if PQ RS. Examine the following illustration and the characteristics of parallel and perpendicular lines to recognize and distinguish between them.
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Solve the equation n x 5 = 5000 explain you solution
Answer:
1000
Step-by-step explanation:
n x 5 = 5000
n = 5000/5
n = 1000
A person needs to borrow $10,000 for 240 days. A lender offers a 9% simple discount note/loan. Determine the amount of interest for the loan and the proceeds of the discounted note. Label each. (Use 365 days)
The simple interest on a $10000 loan offered at a rate of 9% over 240 days is $10591.78
Simple InterestSimple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
The formula is given as
S.I = p(1 + rt)
S.I = simple interestp = principalr = ratet = timeSubstituting the values into the equation,
S.I = 10000(1 + 0.09 * 240)
S.I = 10591.78
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Can someone please help me thank you
Answer:
9. 4/5
10. 3/4
11. 1/4
12. 1/8
13. 1/11
14. 1/9
15. 9/10
16. 1/10
Step-by-step explanation:
ur welcome
Subtract the linear expressions. Show your work.
(4-3x + 9x) - (-11-7x + 9)
Did you use Priya's rate (0.4 cups of oats per cup of water) or Han's rate (2.5 cups of water per cup of oats) to help you answer each of the previous two questions? Why?
Answer:
Yes
Step-by-step explanation:
It depends on the questions before hand but this seems to answer the previous two questions.
r=6%
t=6years
I=480,00
p=?
Answer:
I=PRT/100
I100=PRT dbs by Rt
l100/RT = P
48000*100/6*6
P=
A 150-pound person uses 5.6 calories per minute when walking at a speed of 4 mph. How long must a person walk at:
this speed to use at least 220 calories?
A person must walk for at least
(Round up to the nearest minute.)
minutes in order to use at least 220 calories.
The person must walk 2.61 miles to use 220 calories with speed of 4mph.
What is speed?
The pace at which an object's position changes in any direction is known as its speed. The distance traveled relative to the time it took to travel that distance is how fast something is moving. Due to its lack of magnitude and only having a direction, speed is a scalar quantity.
Here, At 4 mph 5.6 calories are used in = 1 minute
So, at 4 mph, 220 calories are used in,
=> 220/5.6
=> 39.28 minutes
Hence, a person must walk for 39.28 minutes to burn 220 calories.
To find the distance a person should walk, when the speed is 4 miles per hour.
In 60 minutes a person is walking = 4 miles
So, in 39.28 minutes a person will walk = 4/60*39.28
= 2.61 miles
Therefore The person must walk 2.61 miles to use atleast 220 calories.
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21 washing machines in a laundromat, and 4 broken down. what is the ratio of the broken to all washing machines?
Answer: 17:4
Step-by-step explanation:
21 washing machines
4 broken
21 - 4 = 17
17:4
Determine the center and radius of the circle with equation (x+3)² + (y − 2)² = 16
Answer: Center: (-3, 2). Radius: 4.
Step-by-step explanation:
The x-coordinate of the center of the circle is given by the constant within the parenthesis with variable x. Whatever number makes the equation x + 3 = 0 is the x-coordinate of the center of the circle, which in this case is -3.
The y-coordinate of the center of the circle is given by the constant within the parenthesis with variable y. Whatever number makes the equation y - 2 = 0 is the y-coordinate of the center of the circle, which in this case is -2.
The radius of the circle is the square root of the constant on the other side of the equation. So, r = [tex]\sqrt{16}[/tex] = 4.
The explanation is from the equation of a circle in a graph:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
h and k in this equation stand for the coordinates of the center of the circle, with h being the x-coordinate and k being the y-coordinate. IN your equation, we have:
[tex](x+3)^2 + (y-2)^2 =16[/tex]
Which can also be written as
[tex](x-(-3))^2 + (y-(2))^2=16[/tex]
See the correlation of numbers -3 and 2 with h and k?
Notice also how the equation contains [tex]r^2[/tex], so to find the radius you do [tex]\sqrt{r^2}[/tex].
Alton estimated that 260 people attended the band concert. The actual count for attendance was 200 people. Find the percent of error.
The percent of error concerning Alton's estimated attendance and actual attendance at the band concert is 30%.
What is the percentage of error?The percent of error is a measure showing how big an error is between the estimate and actual results.
The smaller the percent of error the closer the estimate is to the actual observations, and vice versa.
Actual Observed Value = 200
Expected Value = 260
Percentage of error = (Expected Value - Observed Value) ÷ Actual Value
= (260 - 200)/200
= 60/200
= 0.3
= 30%
Thus, we can conclude that Alton made a 30% error in his estimate of attendance at the band concert.
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there are 4 consecutive even integers that sum to 276
The required consecutive even integers are 66, 68, 70, and 72.
We have four integers. The integers are consecutive, that means the integers are one after the other. The integers are even, which means they are all divisible by two. The sum of these four even integers is 276.
Let the first even integer be represented by the variable "n". The next three consecutive integers are (n + 2), (n + 4), and (n + 6). Let the sum be denoted by "S".
S = n + (n + 2) + (n + 4) + (n + 6)
276 = 4n + 12
4n = 264
n = 66
Hence, the required integers are 66, 68, 70, and 72.
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Five students were looking at a large poster of the periodic table. They noticed the elements were arranged in rows and columns. They also noticed the elements were nged in order from 1-118. They had different ideas about the arrangement of the elements on the periodic table. This is what they said:
Damon: I think the elements are arranged by increasing mass.
Flo: I think the elements are arranged according to their properties.
Sienna: I think the elements are arranged by when they were discovered.
Kyle: I think the elements are arranged according to how common they are.
Glenda: I don't agree with any of you. I think there must be a different reason for the arrangement.
WHO DO YOU AGREE WITH?
The person that I agree with is Glenda I don't agree with any of you. I think there must be a different reason for the arrangement.
What is a periodic table?The periodic table, commonly known as the periodic table of (chemical) elements, is a table that displays the chemical elements in a tabular format.
The chemical elements are ordered from left to right and top to bottom by increasing atomic number, or the number of protons in an atom's nucleus, which generally corresponds to increasing atomic mass.
The elements in the periodic table are organized into rows, called periods, in ascending atomic number order. Vertical columns, referred to as groups, in which the elements have similar qualities.
I agree with Glenda because they're arranged in atomic number.
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There are 4 green apples and 7 red apples in a basket.
(a) What is the ratio of all apples in the basket to red apples?
0
(b) What is the ratio of green apples to all apples in the basket?
0
Answer:
1) 7:4
2) 11: 7
Step-by-step explanation:
1/3a^2+a=0
It's rather urgent, please or else I will fail my semester...
The solution of the equation given as 1/3a² + a=0 is a = 3
How to determine the solution to the equation?From the question, we have the following equation that can be used in our computation:
1/3a^2+a=0
Rewrite the equation properly
So, we have
1/3a² + a=0
Multiply through the above equation by 3
So, we have the following equation
3 * (1/3a² + a) =0 * 3
Evaluate the products
So, the equation becomes
a² + 3a = 0
Next, we divide through the equation by the variable a
This gives
a + 3 = 0
Subtract 3 from both sides of the equation
i.e. Add -3 to both sides of the equation
a = -3
The above equation cannot be solved further.
So, we leave it like that and stop solving
Hence, the solution to the equation is a = -3
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1) If A = {piano, guitar, violin) and B = (guitar, piano, violin) then B_______A
For the given two sets A and B, the set B is equal to A.
Set:
A set is the collection of well-defined objects or elements. It is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}.
Given.
Here we have the two sets
A = {piano, guitar, violin) and
B = (guitar, piano, violin)
Now, we need to find the relation between B and A.
While we looking into the given sets,
Set A has 3 elements in it and
Set B has 3 elements in it.
So, the size of both sets are equal.
And now we have to looking at the elements in it.
While we checking the elements, instead of the order both have the same elements.
Therefore, the set B is equal to set A.
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1. Draw a picture, write and solve an equation to find Mary's weight, w, when she was 10 years old.
The Weight of Mary is 80. Students who are having trouble solving a problem can use the "draw a picture" method to create a visual representation of the issue.
"Draw a picture" method ?Students who are having trouble solving a problem can use the "draw a picture" method to create a visual representation of the issue.
the justifications.
Inquiry 1.
Formula: w = 10 8 pound
Answer: x = 80 lb
Inquiry 2:
Formula: d = 108 lb - 8 pound
d = 72 lb
Explanation:
First of all
When Mary was born, she weighed 8 pounds.
Statement 2: Mary weight 10 times as much when she was 10 years old.
w = 10 8 pounds, or 80 pounds.
Description of the illustration:
She was born weighing 8 pounds, which is represented by each cell. The 10 cells indicate that the number 8 lbs. has been repeated 10 times.
Next, the sum of the multiplication is shortened:
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 10 × 8 = 80.
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Evaluate the expression when x =-4
Answer:
22. 2 (-4) = -8
23. (2(-4) + 11) = (-8 + 11) = 3
24. -3 (5 (-4) = -3 (-20) = 60
Answer:
22. 8
23. 3
24. -60
Step-by-step explanation:
You want the values of the given absolute value expressions when x = -4.
23. 2|x|The absolute value function changes the sign to positive, if it isn't already.
2|-4| = 2(4) = 8
24. |2x +11||2(-4) +11| = |-8 +11| = |3| = 3
25. -3|5x|-3|5(-4)| = -3|-20| = -3(20) = -60
Rewrite −12(4x + 5y) using distribution.
−48x + 60y
−48x + 5y
−48x − 60y
−4x − 17y
To distribute this, multiply each term in the parentheses by -12
-12(4x) + -12(5y)
-48x - 60y
Hope this helps :)
Comment if you need any more explanation
Answer:
-48x - 60y
Step-by-step explanation:
Distributive Property of multiplication over addition:
[tex]\boxed{a(b + c) = ab + ac}[/tex]
Apply the distributive property to the given expression:
[tex]\begin{aligned}-12(4x + 5y) & = -12 \cdot 4x + (-12) \cdot 5y\\& = -48x +(- 60y)\\&=-48x-60y\end{aligned}[/tex]
Therefore, the given expression rewritten using distribution is:
-48x - 60yA tennis ball has a volume of approximately
10.31 in ³
What is the radius of the tennis ball? Use 3.14 to
approximate 7.
By using the concept of volume of a sphere, the result obtained is
Radius of the tennis ball = 1.35 inch
What is Volume of a sphere?
Volume of the sphere is the total space taken by the sphere.
If r is the radius of the sphere, then the volume of the sphere is given by the formula
V = [tex]\frac{4}{3}\pi r^3[/tex]
Let the radius of the ball be r inch
Volume of the ball = [tex]\frac{4}{3}\pi r^3[/tex]
= [tex]\frac{4}{3} \times 3.14 \times r^3[/tex]
By the problem,
[tex]\frac{4}{3} \times 3.14 \times r^3 = 10.31\\r^3 = \frac{10.31 \times 3}{4 \times 3.14}\\r^3 = 2.46\\r = \sqrt[3]{2.46}\\ r = 1.35\ in[/tex]
Radius of the tennis ball = 1.35 inch
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Solve. 4x+2=(1/8)x-2
_______
